What is the derivative of sqrt(-x^2+25) ?

The derivative of sqrt(-x^2+25) is -x/(sqrt(-x^2+25))

What is the first derivative of sqrt(-x^2+25) ?

The first derivative of sqrt(-x^2+25) is -x/(sqrt(-x^2+25))

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\frac{d}{d x} (- x^{2} + 25)

- \frac{x}{- x ^{2} + 25}

Solution steps

\frac{d}{d x} (- x^{2} + 25)

Apply the chain rule:

\frac{1}{2 - x ^{2} + 25} \frac{d}{d x} (- x^{2} + 25)

= \frac{1}{2 - x ^{2} + 25} \frac{d}{d x} (- x^{2} + 25)

\frac{d}{d x} (- x^{2} + 25) = - 2 x

= \frac{1}{2 - x ^{2} + 25} (- 2 x)

Simplify

\frac{1}{2 - x ^{2} + 25} (- 2 x) : - \frac{x}{- x ^{2} + 25}

= - \frac{x}{- x ^{2} + 25}

y d x + x^{\frac{α}{6}} d y = 8 y x d x + 2 d y

\frac{d}{d x} (2 x^{6} + 3 x^{5} + 4 x^{4} - 5 x^{3} - 6 x^{2} + 1)

ln (x^{2} + 1)

- 6 t (5 t^{3} - 1)^{7}

x \to - 3 lim (x^{2} - 5)

What is the derivative of sqrt(-x^2+25) ?
The derivative of sqrt(-x^2+25) is -x/(sqrt(-x^2+25))
What is the first derivative of sqrt(-x^2+25) ?
The first derivative of sqrt(-x^2+25) is -x/(sqrt(-x^2+25))